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QuestionMathematics

Which trinomial is equivalent to 3(x−2)2−2(x−1)?
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Step 1
I'll solve this step by step, carefully following the LaTeX formatting guidelines:

Step 2
: Expand the first term
3(x−2)23(x- 2)^{2}

- Multiply by $$3$$: $$3(x-2)^{2} = 3x^{2} - 12x + 12
- First, expand
(x−2)2(x- 2)^{2}
using the square of a binomial formula:
a2=a⋅aa^{2} = a \cdot a

Final Answer

3x^{2} - 14x + 14

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